Interface between pneumatic and mechanical rotational domains
The Rotational Pneumatic-Mechanical Converter block provides an interface between the pneumatic and the mechanical rotational domains. Use it as a building block for modeling pneumatic pumps and motors.
The pneumatic flow rate and mechanical rotation are related by the following equations:
|Q||Volumetric flow rate flowing from port A to port B|
|pA||Pressure at port A|
|pB||Pressure at port B|
|ω||Shaft angular rotational speed|
|D||Volumetric displacement per unit rotation|
The torque equation depends on the direction of power flow, and is always such that the conversion results in some thermal losses.
From considering energy flow, the heat flow out (qo) of the converter must equate to the heat flow in (qi) minus mechanical work done. Therefore, the heat equations are:
where G is the mass flow rate.
If the pneumatic pressure drops from port A to port B, then the resulting torque is positive acting from the mechanical port C to port R.
Conversion efficiency is constant, that is, it does not depend on torque or speed.
Gas flow rate is linearly dependent of pump speed.
The process is adiabatic, that is, there is no heat transfer with the environment.
Gravitational effects can be neglected.
The block has the following ports: